Optimal regularity for the thin obstacle problem with $$C^{0,\alpha }$$ C 0 , α coefficients

2017 ◽  
Vol 56 (5) ◽  
Author(s):  
Angkana Rüland ◽  
Wenhui Shi
Keyword(s):  
Obstacle Problem ◽  
Optimal Regularity ◽  
Thin Obstacle

Optimal Regularity for the No-Sign Obstacle Problem

2012 ◽  
Vol 66 (2) ◽  
pp. 245-262 ◽  
Author(s):  
John Andersson ◽  
Erik Lindgren ◽  
Henrik Shahgholian
Keyword(s):  
Obstacle Problem ◽  
Optimal Regularity

scholarly journals Regularity for the fully nonlinear parabolic thin obstacle problem

2021 ◽  
pp. 2150011
Author(s):  
Georgiana Chatzigeorgiou
Keyword(s):  
Parabolic Equation ◽  
Viscosity Solution ◽  
Nonlinear Parabolic Equation ◽  
Obstacle Problem ◽  
Elliptic Case ◽  
Fully Nonlinear ◽  
Nonlinear Elliptic ◽  
Nonlinear Parabolic ◽  
Parabolic Case ◽  
Thin Obstacle

We prove [Formula: see text] regularity (in the parabolic sense) for the viscosity solution of a boundary obstacle problem with a fully nonlinear parabolic equation in the interior. Following the method which was first introduced for the harmonic case by L. Caffarelli in 1979, we extend the results of I. Athanasopoulos (1982) who studied the linear parabolic case and the results of E. Milakis and L. Silvestre (2008) who treated the fully nonlinear elliptic case.

scholarly journals Regularity results of the thin obstacle problem for the p(x)-Laplacian

2019 ◽  
Vol 276 (2) ◽  
pp. 496-519 ◽  
Author(s):  
Sun-Sig Byun ◽  
Ki-Ahm Lee ◽  
Jehan Oh ◽  
Jinwan Park
Keyword(s):  
Obstacle Problem ◽  
Regularity Results ◽  
Thin Obstacle

scholarly journals Optimal regularity for the obstacle problem for the p-Laplacian

2015 ◽  
Vol 259 (6) ◽  
pp. 2167-2179 ◽  
Author(s):  
John Andersson ◽  
Erik Lindgren ◽  
Henrik Shahgholian
Keyword(s):  
Obstacle Problem ◽  
Optimal Regularity

scholarly journals The variable coefficient thin obstacle problem: Carleman inequalities

2016 ◽  
Vol 301 ◽  
pp. 820-866 ◽  
Author(s):  
Herbert Koch ◽  
Angkana Rüland ◽  
Wenhui Shi
Keyword(s):  
Obstacle Problem ◽  
Variable Coefficient ◽  
Carleman Inequalities ◽  
Thin Obstacle
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